Coefficient inequality for certain subclasses of univalent functions
Let f (z)= z+ ∑_(n=2)^∞▒〖a_n z^n 〗 an analytic and univalent function in the unit disk D = {z├∶┤|├ z┤| z < ├ 1}. The purpose of the present paper is to introduce the functional |a_4-μa^(2/3) | when µ is real. We give sharp upper bounds for |a_4-μa^(2/3) | for certain subclasses of univalent fu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
| Published: |
Pushpa Publishing House
2005
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| Subjects: | |
| Online Access: | https://eprints.ums.edu.my/id/eprint/33568/2/Coefficient%20inequality%20for%20certain%20subclasses%20of%20univalent%20functions.ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/33568/1/Coefficient%20inequality%20for%20certain%20subclasses%20of%20univalent%20functions.pdf |
| Summary: | Let f (z)= z+ ∑_(n=2)^∞▒〖a_n z^n 〗 an analytic and univalent function in the unit disk D = {z├∶┤|├ z┤| z < ├ 1}. The purpose of the present paper is to introduce the functional |a_4-μa^(2/3) | when µ is real. We give sharp upper bounds for |a_4-μa^(2/3) | for certain subclasses of univalent functions. The results obtained are sharp. |
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